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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

4. Solving Absolute Value Equations

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Exercise 65 Page 34

Use the formula for the area of a circle.

6 inches

Practice makes perfect

We are given that the area of a circle equals 36 π square inches and we want to find its radius.

First, let's recall the formula for the area of a circle. In the formula A is the area and r is the radius. A=π r^2 In our case, the area is given to be 36π in^2. By substituting this into the formula, we can solve for r.

A=π r^2

A= 36π

36π=π r^2

.LHS /π.=.RHS /π.

36=r^2

Rearrange equation

r^2=36

sqrt(LHS)=sqrt(RHS)

r = sqrt(36)

Calculate root

r= 6

We found that the radius of the circle measures 6 inches.

Subchapter links

Communicate Your Answer p.27

Monitoring Progress p.28-31

Exercises p.32-34